506472 has 32 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 164864.

The previous prime is 506461. The next prime is 506479. The reversal of 506472 is 274605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (506479) by changing a digit.

506472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁵⁰⁶⁴⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

506472 is an abundant number, since it is smaller than the sum of its proper divisors (789528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506472 is a wasteful number, since it uses less digits than its factorization.

506472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 506472 is about 711.6684621367. The cubic root of 506472 is about 79.7110408727.

It can be divided in two parts, 506 and 472, that multiplied together give a palindrome (238832).

The spelling of 506472 in words is "five hundred six thousand, four hundred seventy-two".